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is im2b unit 7 task 04 4. solve for $x$. $(3x - 7)^\\circ$ $(x + 5)^\\c…

Question

is im2b unit 7 task 04

  1. solve for $x$.

$(3x - 7)^\circ$
$(x + 5)^\circ$

Explanation:

Step1: Identify angle relationship

The angles are same-side interior angles, so they are supplementary (sum to $180^\circ$).
$$(3x - 7) + (x + 5) = 180$$

Step2: Simplify left side

Combine like terms.
$$4x - 2 = 180$$

Step3: Isolate variable term

Add 2 to both sides.
$$4x = 182$$

Step4: Solve for x

Divide both sides by 4.
$$x = \frac{182}{4} = 45.5$$

Answer:

$x = 45.5$